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Finding the Fourth Proportional to 4,552.50, 6,282.50 and 2,562.96

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Solution

The fourth proportional to 4,552.50, 6,282.50 and 2,562.96 is: 3,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.50 : 6,282.50 = 2,562.96 : x
  2. Step 2: Convert to fraction form
    4,552.50/6,282.50 = 2,562.96/x
  3. Step 3: Cross multiply
    4,552.50x = 6,282.50 × 2,562.96
  4. Step 4: Simplify right side
    4,552.50x = 16,101,783.39
  5. Step 5: Solve for x
    x = 16,101,783.39/4,552.50
  6. Step 6: Final answer
    x = 3,536.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.